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storchak [24]
2 years ago
12

A movie theater charges $8.50 for an adult ticket to an evening showing of a popular movie. To help the local animal shelter, th

e theater management has agreed to reduce the price of each adult ticket by $0.50 for every can of pet food a customer contributes to a collection barrel in the theater lobby. Which of the following shows both an equation in which y represents the cost of an adult ticket in dollars for a customer who contributes x cans of pet food, and the graph of the cost if a customer brings in 2, 5, 8, or 10 cans of pet food?

Mathematics
1 answer:
Vlada [557]2 years ago
6 0

Answer: What’s the answer ?

Step-by-step explanation:

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A ferry departs from a port along the Sands River at 10:00 am. The ferry travels at a speed of 15 mph in still water and returns
jek_recluse [69]

Answer:

Speed of river's current = 5 mph

Step-by-step explanation:

Let 'd' be the distance covered  

 Let x be the speed of the rivers current

Speed upstream = 15-x

speed downstream = 15+x

Time = distance / speed

time upstream = \frac{d}{15-x}

time downstream = \frac{d}{15+x}

the ferry trip upstream takes twice as long as its return trip downstream

\frac{d}{15-x}= \frac{2d}{15+x}

divide both sides by d

\frac{1}{15-x}= \frac{2}{15+x}

cross multiply

15+x= 2(15-x)

15+x= 30-2x

Add 2x on both sideds

15+3x= 30

subtract 15 from both sides and divide by 3

3x=15

x=5

Speed of river's current = 5 mph

8 0
3 years ago
Find the area of the rhombus in m squared
Nataly [62]

Answer:

\boxed{\bold{100 \ m^2}}

Step By Step Explanation:

Area Of Rhombus: \bold{\frac{pq}{2} }

Identify 'p'

5 + 5 = 10

p = 10

Identify 'q'

10 + 10 = 20

q = 20

\bold{10 \ \cdot\ \ 20 \ = \ 200}

\bold{200 \ \div \ 2 \ = \ 100}

➤ \boxed{\bold{Mordancy}}

4 0
2 years ago
Please help meeee ………..
Len [333]

Answer:

  x = 5

Step-by-step explanation:

The equality of bases property says powers of the same base will be equal if and only if the powers are equal. This property is used to solve exponential equations.

<h3>Application</h3>

  \dfrac{(2)^x}{2}=16\qquad\text{copy of the original equation}\\\\2\times\dfrac{(2)^x}{2}=2\times16\qquad\text{multiply by 2 to isolate the base}\\\\2^x=32\qquad\text{simplify}\\\\2^x=2^5\qquad\text{rewrite the constant as a power of 2}\\\\\boxed{x=5}\qquad\text{use the Equality of Bases Property}

__

<em>Additional comment</em>

Equating the exponents is fully equivalent to taking the logarithm of both sides of the equation, to that base.

  \log_2(2^x)=\log_2(2^5)\ \Longrightarrow\ x=5

6 0
1 year ago
How many ways can you make a 3-letter arrangement out of the letters in the word TRAPEZOID? This is a (permutation or combinatio
Andrews [41]

Answer:

Permutation

504 ways

Step-by-step explanation:

The difference between combinations and permutations is ordering. With permutations we DO care about the order of the elements, whereas with combinations we don't.

In your graphing calculator, type

nPr(9,3)

(9 letters in trapezoid, 3 letter combos)

and it returns 504.

4 0
3 years ago
9=-7x+7x^2 Helppp please
8_murik_8 [283]

Answer:

x= 0.21428571428 or x=0.2

Step-by-step explanation:

-7x+7x^2=9  1. simplify 7x^2

-7x+ 7x(7x)=9   2. combine like terms

-7x+49x=9    3. combine like terms

42x=9           4. /42 on both sides

x= 0.21428571428 or x=0.2

8 0
1 year ago
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